Name ______Date ______

Geometry Honors Midterm Review

Chapter 1

Multiple Choice

Refer to the figure below for questions 1 and 2.

1. Points E,G. and F

A. determine a plane

B. are collinear

C. are contained in only plane JKH

D. are noncoplanar points

2. The line that contains F and K

A. intersects plane EGI but not plane JKH

B. intersects plane JKH but not plane EGI

C. does not intersect either plane

D. intersects both planes

  1. What is the measure of if D is between A and B, AD=7 and DB=12.

A. 12 B. 5 C. 19 D. 10

  1. If and form a linear pair and is acute, then is

a. acute b. obtuse c. right

5. If bisects and , find .

a. b. c. d.

6. The endpoints of are and . Find the midpoint of .

A. C.

B. D.

7. has a length of 4.5 units. If has endpoints and , how much longer than is ?

A. 0.5 unitsC. 2 units

B. 2.5 unitsD. is longer

  1. Name the acute angles in the given figure.

A. and

B. and

C. and

D. and

  1. If the measure of is , find the measure of .

A. B. C. D.

10. is greater than . If and are supplementary, find and .

A.

B.

C.

D.

Open Ended

Use the diagram to decide whether the given statement is trueor false.

1.Points H, I, and Jare coplanar.

2. and are opposite rays.

3.All points on and are coplanar.

4.The intersection of and plane JKH is

5.The intersection of , and is point G

6.The intersection of plane EGHand plane JGI is point G..

7. a. Find the distance between and .

b. Find the midpoint of and .

8.If , find the value of x.

9. A segment with an endpoint at N(9,3) has its midpoint at M(7,4). Find the coordinates of the other endpoint.
Answers

  1. ______
  2. ______
  3. ______
  4. ______
  5. ______
  6. ______
  7. a.______

b.______

  1. ______
  2. ______
  3. ______
  4. ______

10The measure of an angle is half the measure of its supplement. Find the measure of the angle.

11,Find the value of y in the drawing below.

Geometry Honors1

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Geometry Honors Midterm Review

Chapter 2

Geometry Honors1

Name ______Date ______

Geometry Honors Midterm Review

Chapter 2

Multiple Choice

  1. If 3 points lie in a plane, what must be true about the three points?

A. They must be collinear.

B. None of the points lie in any other plane.

C. None of the points lie on the same line.

D. None of these.

  1. What is the converse of the given statement?

GIVEN: If , then is a right angle.

  1. If , then is not a right angle.
  2. If , then is not a right angle.
  3. If is not a right angle, then .
  4. If is a right angle, then .
  1. Which statement’s inverse is true?
  2. If two lines intersect to form a right angle, then they are perpendicular lines.
  3. If is less than , then is acute.
  4. If point K is the midpoint of , then points J, K and L are collinear.
  5. If two rays are opposite rays, then they have a common endpoint.
  1. If all sides of a polygon are congruent, then the polygon is equilateral. All sides of polygon A are 5 inches. Using the Law of Detachment, which conclusion can be made?
  2. Polygon A is congruent.
  3. Polygon A is equilateral.
  4. All polygon sides are 5 inches.
  5. All polygons are equilateral.

  1. If point B bisects , then . If point B is the midpoint of , then point B bisects . Using the Law of Syllogism, which conclusion can be drawn?
  2. If point B is the midpoint of , then .
  3. If , then point B bisects .
  4. If , then point B is the midpoint of .
  5. Points A, B and C are collinear.
  1. Identify the property of equality that justifies the statement If AB=CD, then CD=AB.

a. Transitive b. Substitution

c. Symmetric d. Reflexive

  1. The Reflexive Property of Equality states For every number a, ______.

a. a = b b. a = a c. a = 0 d. b = a

Open Ended

  1. The Law of Detachment states that if is true, then ______is true.

2.The Law of Syllogism states that if and are true, then ______is true.

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Geometry Honors Midterm Review

Chapter 2

In exercises 3-8, complete each statement given that

3. If , then .

4. If , then ______.

5. If , then ______.

6. If , then = ______.

7. If , then =______.

8. If , then = ______.

Determine if a valid conclusion can be reached from the two true statements. If it can, state it and the law of logic that is used. If a valid conclusion does not follow, write no conclusion.

9. (1) If you can drive a car, then you have a driver’s licesnse. (2) Fran can drive a car.

10. (1) If , then.

(2) If , then .

11. (1) All vertical angles are congruent.

(2) and are congruent.

Answers

  1. ______
  2. ______
  3. ______
  4. ______
  5. ______
  6. ______
  7. ______
  8. ______
  9. ______
  10. ______
  11. ______

Geometry Honors1

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Geometry Honors Midterm Review

Chapter 3

Multiple Choice

Use the drawing below for numbers 1-4.

  1. Identify the special angle pair name for and .

A. vertical

B. alternate interior

C. corresponding

D. consecutive exterior

  1. Given and find .
  2. B.
  1. D.
  1. Given and and find the value of .
  2. 9 B. 42 C. 5 D. 36
  1. Given and , find the value of x so that .

A. B. C. D.

  1. Describe the slope of a line through and B(4,-3).

A. positiveC. zero

B. negativeD. undefined

  1. Write an equation of the line with slope 2 and y-intercept 5.
  2. C.
  3. D.
  4. Based on the diagram, which theorem would you use to support the statement ?
  1. Alternate interior angles theorem
  2. Alternate exterior angles theorem
  3. Consecutive interior angles theorem
  4. Parallel lines theorem
  1. Find the value of and .

A. C.

B. D.

Find the value of x.

A. 36B. 45

C. 60D. 72

  1. Find the slope of a line through and
  2. 2 C.
  3. –2 D.

Open Ended

Complete each of the following with

or no parallel lines.

  1. If , then ______.
  1. If , then ______.
  1. If , then ______.
  1. If is supplementary to , then ______.
  1. If and , then ______.
  1. If , then ______.
  1. Find the value of so that .

a.

b.

Answers

1.______

2. ______

3. ______

4. ______

5. ______

6. ______

7.a.______

b.______

What 2 lines if any are parallel if the given information is true (if none, write no lines parallel)?

1.

2.

3.

4.

5.

6.

7.

8.and are supplementary

9. and are supplementary

10. and are complementary and .

  1. Tell whether a line whose slope is 0 is horizontal, vertical, or neither.
  1. Write an equation in slope intercept form of the line parallel to the line passing through the given points.

a. G(-8,2), H(-3,12)

b. J(3,2), K(-1,-1)

c. M(-5,1), N(0,-7)

  1. Write an equation of the line in standard form of the line perpendicular to the line passing through the given points.
  2. P(6,1), Q(8,0)
  3. R(3,-3), S(-1,5)

Answers

1.______

2. ______

3. ______

4. ______

5. ______

6. ______

7. ______

8. ______

9. ______

10. ______

11.______

12.a.______

b.______

c.______

13.a. ______

  1. ______
  2. ______

Geometry Honors1

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Geometry Honors Midterm Review

Chapter 4

Multiple Choice

In exercises 1-3 use the following drawing.

  1. What is the value of ?

A. 3D.6

B. 4E. 7

C. 5

2.What is the measure of the largest angle?

A. D.

B. E.

C.

3.What is the best classification for the triangle?

A. RightD. Equilateral

B. AcuteE. Equiangular

C. Obtuse

4. Which congruence statement is correct for the triangles shown?

A.

B.

C.

D.

E.

5. The sum of the measures of the interior angles of a triangle is ______.

A. C.

B. D.

  1. Given , use the Hypotenuse-Leg Congruence Theorem to find .

A. 30C. 60

B. 45D. 90

7. If is isosceles and , which statement must be true?

a. b.

c. d.

8. In, the measure of each angle is 60, and . Find the length of .

a. 4 b. 5 c. 15 d. 16

9. Given , , and , find the value of x.

a. 28 b. 13 c. 9 d. 7

10. Given , , and , find the value of x.

a. 7 b. 14 c. 27 d. 84

11. Which of the following is not a postulate used to prove the congruence of triangles?

A. SSS B. AAS C. ASA D. AAA

12. In , what angle is opposite ?

a. b. c. d.

13. In isosceles triangle , is the vertex angle. If and , find the measure of .

A. 6 B. 12 C. 44 D. 92

14.Classify the triangle ABC with vertices

A(-2,-1), B(6,1) and C(3,4).

A. right B. obtuse C. acute

D. equiangular

15. The measure of a base angle of an isosceles triangle is 25. What is the measure of the vertex angle?

A. 25 B. 50 C. 110 D. 130

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Geometry Honors Midterm Review

Chapter 4

Open Ended

Answers

1.______

2.______

3. ______

4. ______

5. ______

6. ______

7. ______

8. ______

9. ______

10. ______

11. ______

12. ______

13. ______

14. ______

Proofs

  1. GIVEN:Bis the midpoint of.

Bis the midpoint of .

PROVE:ABDEBC


2. GIVEN:; ,

PROVE:ABCDCB


3. GIVEN: O is the midpoint of;

PROVE:

  1. GIVEN: ;

PROVE:

  1. GIVEN: ,

PROVE:

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Geometry Honors Midterm Review

Chapter 6


5.

6.

Answers

1.______

2.______

3. ______

4. ______

5. ______

6. ______

7. ______

8. ______

9. ______

10. ______

11. ______

12. ______

In and .

  1. Name a median of .
  2. Name an altitude of .
  3. Name an angle bisector of .
  4. If is a median, and find

Answers

13.______

14.______

15. ______

16. ______

17. ______

18. ______

19.______

20.______

21.______

22.______

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Geometry Honors Midterm Review

Chapter 6


Geometry Honors1

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Geometry Honors Midterm Review

Chapter 6


1.______

2. ______

3. ______

4. ______

5. ______

6.______

7.______

8.______

9.______

10.______

11.______

12.______

13.______

14.______

15.

  1. A tree casts a shadow of 48 feet. Nancy, who id 5 feet tall, casts a shadow of 9 feet. About how tall is the tree?

22. On a map of the Unites Sates inches represents 810 miles. If it is approximately inches from Miami to Dallas on the map, what is the actual distance in miles?

15. ______

16. ______

17. ______

18. ______

19.______

20.______

21.______

22.______

Geometry Honors1